I know the title is meant to be a play on The Iliad but the stories remind me more of Don Quixote.

When I was reading it, it seemed a lot of bits reappeared as Futurama jokes but then got to the story with the robot named Calculon and that made it obvious.

I used to know the Russian translation by heart (and all of Ijon Tichy)

I loved how is was mentioned in passing (as I recall it, 30 years later), that Ijon Tichy was followed by an entourage of Tichiologists.